Test the reliability of doubly robust estimation with missing response data

 
   Lead Investigator:    Baojiang Chen
   Institution      :    University of Nebraska
   E-Mail           :    baojiang.chen@unmc.edu
   Proposal ID      :    399


   Publications:


1  Chen B , Qin J
   Test the reliability of doubly robust estimation with missing response data
   Journal Article  Biometrics,70:289-298,2014,PMC4061274

   PUBLISHED





   Proposal Description:
   In statistical inference one has to make sure that the underlying regression model is correctly specified otherwise the resulting estimation may be biased. Model checking is an important method to detect any departure of the regression model from the true one. Missing data is a ubiquitous problem in social and medical studies. If the underlying regression model is correctly specified, recent researches show great popularity of the doubly robust estimates method for handling missing data because of its robustness to the misspecification of either the missing data model or the conditional mean model, i.e. the model for the conditional expectation of true regression model conditioning on the observed quantities. However, little work has been devoted to the goodness of fit test for doubly robust estimates method. In this paper, we propose a testing method to assess the reliability of the estimator derived from the doubly robust estimating equation with possibly missing response and always observed auxiliary variables. Numerical studies demonstrate that the proposed test can control type I errors well. Furthermore, the proposed method can detect departures from model assumptions in the marginal mean model of interest powerfully. A real dementia data set is used to illustrate the method for the diagnosis of model misspecification in the problem of missing response with an always observed auxiliary variable for cross-sectional data.